82200019749120 has 2592 divisors, whose sum is σ = 374140349856000. Its totient is φ = 16222094622720.

The previous prime is 82200019749109. The next prime is 82200019749149. The reversal of 82200019749120 is 2194791000228.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54836570131 + ... + 54836571629.

Almost surely, 2^{82200019749120} is an apocalyptic number.

82200019749120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82200019749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187070174928000).

82200019749120 is an abundant number, since it is smaller than the sum of its proper divisors (291940330106880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82200019749120 is a wasteful number, since it uses less digits than its factorization.

82200019749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 8220001 and 9749120, that added together give a square (17969121 = 4239²).

The spelling of 82200019749120 in words is "eighty-two trillion, two hundred billion, nineteen million, seven hundred forty-nine thousand, one hundred twenty".